1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Sergeu [11.5K]
2 years ago
8

The physical plant at the main campus of a large state university recieves daily requests to replace florecent lightbulbs. The d

istribution of the number of daily requests is bell-shaped and has a mean of 61 and a standard deviation of 11. Using the empirical rule (as presented in the book), what is the approximate percentage of lightbulb replacement requests numbering between 61 and 94?
Mathematics
1 answer:
zaharov [31]2 years ago
5 0

Answer:

P(61≤ X≤94) = 49.85%

Step-by-step explanation:

From the given information:

The mean of the bell shaped fluorescent light bulb μ = 61

The standard deviation σ = 11

The objective of this question is to determine the approximate percentage of light bulb replacement requests numbering between 61 and 94 i.e P(61≤ X≤94)

Using the empirical (68-95-99.7)rule ;

At 68% , the data lies between  μ - σ and μ + σ

i.e

61 - 11 and 61 + 11

50 and 72

At  95%, the data lies between  μ - 2σ and μ + 2σ

i.e

61 - 2(11) and 61 + 2(11)

61 - 22 and 61 +22

39   and   83

At 99.7%, the data lies between  μ - 3σ and μ + 3σ

i.e

61 - 3(11) and 61 + 3(11)

61 - 33 and 61 + 33

28   and   94

the probability equivalent to 94 is when  P(28≤ X≤94) =99.7%

This implies that ,

P(28≤ X≤94) + P(61≤ X≤94) = 99.7%

P(28≤ X≤94) = P(61≤ X≤94) = 99.7 %    

This is so because the distribution is symmetric about the mean

P(61≤ X≤94) = 99.7 %/2

P(61≤ X≤94) = 49.85%

You might be interested in
a right triangle has legs measuring 4.5 meters and 1.5 meters the lengths of the legs of a second triangle are proportional to t
MrRa [10]

One approach that might be a great help would be if you would look
at the choices ... those things at the bottom of the question that you
didn't give us.

-- One leg is 3 times the length of the other leg.

-- Any right triangle that has one leg three times as long as the other
leg is similar to this triangle. 

I'll bet that if you look through the choices, you'll find one there.

8 0
3 years ago
Read 2 more answers
9 3/4 x 8 cummutative
Montano1993 [528]

Answer: 78

Step-by-step explanation: typed it into a calculator

8 0
3 years ago
Read 2 more answers
What is the sum of the 9th square number and the 3rd cube number?
Lesechka [4]
The sum of the 9th square number and 3rd cube number is 108
7 0
2 years ago
Read 2 more answers
What is 4-2x+8+5x simplified
sveta [45]

Answer: it is 3 • (x + 4)

Step-by-step explanation: We move all terms to the left:

4-2x+8-(+5x)=0

We add all the numbers together, and all the variables

-2x-(+5x)+12=0

We get rid of parentheses

-2x-5x+12=0

We add all the numbers together, and all the variables

-7x+12=0

We move all terms containing x to the left, all other terms to the right

-7x=-12

x=-12/-7

x=1+5/7We move all terms to the left:

4-2x+8-(+5x)=0

We add all the numbers together, and all the variables

-2x-(+5x)+12=0

We get rid of parentheses

-2x-5x+12=0

We add all the numbers together, and all the variables

-7x+12=0

We move all terms containing x to the left, all other terms to the right

-7x=-12

x=-12/-7

x=1+5/7

6 0
2 years ago
Read 2 more answers
Solve for the difference <br><br><br><br><br><br> `7.2-3.67`
storchak [24]
The correct answer is 3.53
7 0
2 years ago
Other questions:
  • Numbers 11-14 pls I’m having a lot of trouble
    6·1 answer
  • (0,1)<br> (1,0.5)<br> (2,0.25)<br> (3,0.125)<br> (4,0.0625)<br> What does Y equal in this function)
    10·1 answer
  • Solve the equation.<br> n3 = 8
    5·2 answers
  • Select all the expressions which are equivalent to three times the sum of six and five.
    8·2 answers
  • Solve for x <br> x/45=3<br><br> :)
    14·1 answer
  • 1.8= 2.1h-5.7-4.6h what is h
    8·2 answers
  • 1 a) A random sample of 25 was drawn from a normal distribution with a standard deviation of 5. The sample mean is 80. Determine
    13·1 answer
  • Consider the arithmetic sequence: 6, 2, -2, -6, \dots6,2,−2,−6,…6, comma, 2, comma, minus, 2, comma, minus, 6, comma, dots If nn
    5·2 answers
  • Rectangle A is a scaled version of rectangle B. The dimensions of rectangle A are four times the dimensions of rectangle B. The
    10·1 answer
  • Find the trig function indicated. Round your answer to the nearest hundredeths place.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!